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30414000000 = 2735637137
BaseRepresentation
bin11100010100110100…
…001100111110000000
32220111121022021121110
4130110310030332000
5444241441000000
621545541323320
72124454506636
oct342464147600
986447267543
1030414000000
1111997a0139a
125a89706540
132b39098b07
141687415356
15bd0155850
hex714d0cf80

30414000000 has 448 divisors, whose sum is σ = 104468975280. Its totient is φ = 7833600000.

The previous prime is 30413999999. The next prime is 30414000031. The reversal of 30414000000 is 41403.

It is a super-2 number, since 2×304140000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 30414000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 221999932 + ... + 222000068.

Almost surely, 230414000000 is an apocalyptic number.

30414000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52234487640).

30414000000 is an abundant number, since it is smaller than the sum of its proper divisors (74054975280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30414000000 is an frugal number, since it uses more digits than its factorization.

30414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30414000000 its reverse (41403), we get a palindrome (30414041403).

The spelling of 30414000000 in words is "thirty billion, four hundred fourteen million", and thus it is an aban number.